The problem asks for the elements of $A'$ (the complement of set A) based on the given Venn diagram with the universal set $U$, and sets $A$ and $B$.

From the Venn diagram, the elements of each set are:

• Set $A$ contains: $\{1, 3, 7, 9\}$
• Set $B$ contains: $\{5, 6, 7, 8\}$
• The universal set $U$ contains all the elements in both $A$ and $B$, and possibly more outside: $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$

Finding $A'$ (the complement of set $A$):

The complement $A'$ consists of all elements in the universal set $U$ that are not in set $A$. So, we need to exclude the elements $\{1, 3, 7, 9\}$ from $U$.

Thus, the elements of $A'$ are: $A' = \{2, 4, 5, 6, 8, 10\}$

Comparing to the multiple-choice options:

• The closest option is $\{2, 4, 6, 8, 10\}$, which matches the elements of $A'$ excluding 5, since 5 is part of $B$.

Hence, the correct answer is: $\boxed{\{2, 4, 6, 8, 10\}}$

Would you like a deeper explanation, or do you have any further questions?

Here are 5 related questions:

1. How do we define the complement of a set?
2. What is the union of two sets in a Venn diagram?
3. How is the intersection of sets determined?
4. How do you determine the elements of $B'$ in a similar problem?
5. What is the difference between $A \cup B$ and $A \cap B$?

Tip: To quickly find the complement of a set, subtract its elements from the universal set.